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Nonexistence of the final first integral in the Zipoy-Voorhees space-time

Published 18 Feb 2013 in gr-qc, math-ph, and math.MP | (1302.4234v3)

Abstract: We show that the geodesic motion in the Zipoy-Voorhees space-time is not Liouville integrable, in that there does not exist an additional first integral meromorphic in the phase space variables.

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